A lower bound for Coulomb energies

Elliott H. Lieb

doi:10.1016/0375-9601(79)90358-X

A lower bound for Coulomb energies

Elliott H. Lieb

Mathematics

Research output: Contribution to journal › Article › peer-review

95 Scopus citations

Abstract

The indirect Coulomb energy for particles of charge e is usually approximated by E ≈ -Ce^{2 3} ∫ ρ{variant}(x)^{4 3}d(x), where ρ{variant}(x) is the single-particle charge density. We prove that, for a suitable constant C, this form for E is actually a universal lower bound.

Original language	English (US)
Pages (from-to)	444-446
Number of pages	3
Journal	Physics Letters A
Volume	70
Issue number	5-6
DOIs	https://doi.org/10.1016/0375-9601(79)90358-X
State	Published - Apr 2 1979

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1016/0375-9601(79)90358-X

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title = "A lower bound for Coulomb energies",

abstract = "The indirect Coulomb energy for particles of charge e is usually approximated by E ≈ -Ce 2 3 ∫ ρ{variant}(x) 4 3d(x), where ρ{variant}(x) is the single-particle charge density. We prove that, for a suitable constant C, this form for E is actually a universal lower bound.",

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N2 - The indirect Coulomb energy for particles of charge e is usually approximated by E ≈ -Ce 2 3 ∫ ρ{variant}(x) 4 3d(x), where ρ{variant}(x) is the single-particle charge density. We prove that, for a suitable constant C, this form for E is actually a universal lower bound.

AB - The indirect Coulomb energy for particles of charge e is usually approximated by E ≈ -Ce 2 3 ∫ ρ{variant}(x) 4 3d(x), where ρ{variant}(x) is the single-particle charge density. We prove that, for a suitable constant C, this form for E is actually a universal lower bound.

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U2 - 10.1016/0375-9601(79)90358-X

DO - 10.1016/0375-9601(79)90358-X

M3 - Article

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SN - 0375-9601

VL - 70

SP - 444

EP - 446

JO - Physics Letters A

JF - Physics Letters A

IS - 5-6

ER -

A lower bound for Coulomb energies

Abstract

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